Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorDELETED_USER_2018
   • CommentTimeSep 18th 2021
   • (edited Apr 11th 2023)
   • PermaLink
   Author: DELETED_USER_2018
   Format: MarkdownItex[deleted]

   [deleted]

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 19th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexNice! I have added hyperlinks to more of the technical term appearing (such *[[Spectra]]*). <a href="https://ncatlab.org/nlab/revision/diff/idempotent+monoid+in+a+monoidal+category/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/idempotent+monoid+in+a+monoidal+category/2">v2</a>, <a href="https://ncatlab.org/nlab/show/idempotent+monoid+in+a+monoidal+category">current</a>

   Nice!

   I have added hyperlinks to more of the technical term appearing (such Spectra).

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorvarkor
   • CommentTimeSep 19th 2021
   • PermaLink
   Author: varkor
   Format: MarkdownItex> Also, should idempotent monoids have a unit? When there is no unit, surely the appropriate terminology is "idempotent magma".

   Also, should idempotent monoids have a unit?

   When there is no unit, surely the appropriate terminology is “idempotent magma”.

4. • CommentRowNumber4.
   • CommentAuthorDELETED_USER_2018
   • CommentTimeSep 19th 2021
   • (edited Apr 11th 2023)
   • PermaLink
   Author: DELETED_USER_2018
   Format: MarkdownItex[deleted]

   [deleted]

5. • CommentRowNumber5.
   • CommentAuthorvarkor
   • CommentTimeSep 19th 2021
   • PermaLink
   Author: varkor
   Format: MarkdownItexI agree "idempotent semigroup (object)" seems most suitable when associativity is present. I think "object" can be omitted in this instance, as there ought to be no confusion.

   I agree “idempotent semigroup (object)” seems most suitable when associativity is present. I think “object” can be omitted in this instance, as there ought to be no confusion.

6. • CommentRowNumber6.
   • CommentAuthorDELETED_USER_2018
   • CommentTimeSep 20th 2021
   • (edited Apr 11th 2023)
   • PermaLink
   Author: DELETED_USER_2018
   Format: MarkdownItex[deleted]

   [deleted]

7. • CommentRowNumber7.
   • CommentAuthorvarkor
   • CommentTimeSep 20th 2021
   • PermaLink
   Author: varkor
   Format: MarkdownItexIt's reasonable to redirect [[idempotent semigroup]] to this page, even if it's mainly about idempotent monoids. I don't see a problem with terminology like [[semigroupal category]], considering we already have [[magmoidal category]] and the like.

   It’s reasonable to redirect idempotent semigroup to this page, even if it’s mainly about idempotent monoids. I don’t see a problem with terminology like semigroupal category, considering we already have magmoidal category and the like.

8. • CommentRowNumber8.
   • CommentAuthorDELETED_USER_2018
   • CommentTimeSep 21st 2021
   • (edited Apr 11th 2023)
   • PermaLink
   Author: DELETED_USER_2018
   Format: MarkdownItex[deleted]

   [deleted]

9. • CommentRowNumber9.
   • CommentAuthorDELETED_USER_2018
   • CommentTimeSep 26th 2021
   • (edited Apr 11th 2023)
   • PermaLink
   Author: DELETED_USER_2018
   Format: MarkdownItex[deleted]

   [deleted]

10. • CommentRowNumber10.
    • CommentAuthorncfavier
    • CommentTimeFeb 18th 2024
    • PermaLink
    Author: ncfavier
    Format: MarkdownItexAdded a note that this is different from the usual definition of an idempotent monoid in algebra. <a href="https://ncatlab.org/nlab/revision/diff/idempotent+monoid+in+a+monoidal+category/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/idempotent+monoid+in+a+monoidal+category/6">v6</a>, <a href="https://ncatlab.org/nlab/show/idempotent+monoid+in+a+monoidal+category">current</a>

    Added a note that this is different from the usual definition of an idempotent monoid in algebra.

    diff, v6, current